Passive filter design for fractional-order quaternion-valued neural networks with neutral delays and external disturbance.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

The problem on passive filter design for fractional-order quaternion-valued neural networks (FOQVNNs) with neutral delays and external disturbance is considered in this paper. Without separating the FOQVNNs into two complex-valued neural networks (CVNNs) or the FOQVNNs into four real-valued neural networks (RVNNs), by constructing Lyapunov-Krasovskii functional and using inequality technique, the delay-independent and delay-dependent sufficient conditions presented as linear matrix inequality (LMI) to confirm the augmented filtering dynamic system to be stable and passive with an expected dissipation are derived. One numerical example with simulations is furnished to pledge the feasibility for the obtained theory results.

Authors

  • Qiankun Song
    Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China. Electronic address: qiankunsong@163.com.
  • Sihan Chen
    School of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, China.
  • Zhenjiang Zhao
    Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China. Electronic address: zhaozjcn@163.com.
  • Yurong Liu
    Department of Mathematics, Yangzhou University, Yangzhou 225002, China; Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: liuyurong@gmail.com.
  • Fuad E Alsaadi
    Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.